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Finding the Fourth Proportional to 262,854.20, 394,281.30 and 96,620.60

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Solution

The fourth proportional to 262,854.20, 394,281.30 and 96,620.60 is: 144,930.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,854.20 : 394,281.30 = 96,620.60 : x
  2. Step 2: Convert to fraction form
    262,854.20/394,281.30 = 96,620.60/x
  3. Step 3: Cross multiply
    262,854.20x = 394,281.30 × 96,620.60
  4. Step 4: Simplify right side
    262,854.20x = 38,095,695,774.78
  5. Step 5: Solve for x
    x = 38,095,695,774.78/262,854.20
  6. Step 6: Final answer
    x = 144,930.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.